We are dealing with Multiphase Flows the development of new numerical methods for direct simulations of multiphase flows as well as the use of those methods to study multiphase flows, such as bubbly flows, suspensions, MEMS flows like computer models for simulating gas flows through and over micro-machines. Multi-phase and multi-fluid flows are common in many natural and technological systems. Full numerical simulations, where the governing equations are solved exactly on a computer, offer the potential to gain a detailed understanding of the flow. We are interested in doing research in thermal migration of drops in a fluid that has variable viscosity and density due to temperature field, mixing processes due to bubbles and drops, effect of surfactant and electric field on multiphase or multi-fluid flows.

In the area of scientific computation, the techniques used to solve numerical equations come from physical problems that cannot be solved by analytical means. This usually involves the generation and solution of partial differential equations, which may arise in many physical problems. Our choice of  method is the finite-difference and finite-volume methods. Scientific computation usually require extensive computational resources. Hence, the leads to using parallel computing and its utilitization.

Bubbly flows in pipes and channels are encountered in a wide variety of industrial systems. Simulations of nearly spherical bubbly flows in channels show that the bubbles move towards the wall  The liquid velocity in the core is uniform. For laminar flow the velocity in the wall layer can be computed analytically. For turbulent flow the velocity is given by the law of the wall.

Vapor and gas bubbles are used to pump liquid in microchannels when conventional pumps cannot be efficient, e.g. in micro-actuators. They also push individual droplets of liquid ink out of a channel in bubble-jet printers. Numerous applications of bubbles rely on the fact that they can be created by localized heating very quickly and then disappear when the heating is off. They can also be used to increase the mixing process. Later, in the process, these bubbles should also somehow be separated from the liquid. We are also dealing with these kind of research topics.

Doing research on computational biomedical fluid flows with the application to flow in the cardiovascular system is also of our interest. These may answer many underlying diseases due to flow types and its effects. The flow type may dramatically change the structure of the white and red blood cell in the human body. Having turbulent flow may kill the blood cells. Having high shear stresses on some surfaces of the blood wessels may change the cell structure in the wessel shells. These are also among our research interests.

Having aerodynamics background, we are also working on developing new numerical techniques for solving subsonic, transonic and supersonic flows. Specifically, we are working on finite volume methods for the solution of hyperbolic partial differential equations.